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4737138 = 23743261
BaseRepresentation
bin10010000100100001110010
322220200010120
4102010201302
52203042023
6245311110
755156620
oct22044162
98820116
104737138
11274609a
121705496
13c9b253
148b4510
156388e3
hex484872

4737138 has 48 divisors (see below), whose sum is σ = 11267136. Its totient is φ = 1300320.

The previous prime is 4737133. The next prime is 4737143. The reversal of 4737138 is 8317374.

It is an interprime number because it is at equal distance from previous prime (4737133) and next prime (4737143).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4737099 and 4737108.

It is not an unprimeable number, because it can be changed into a prime (4737133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77628 + ... + 77688.

It is an arithmetic number, because the mean of its divisors is an integer number (234732).

Almost surely, 24737138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4737138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5633568).

4737138 is an abundant number, since it is smaller than the sum of its proper divisors (6529998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4737138 is a wasteful number, since it uses less digits than its factorization.

4737138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 116 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 4737138 is about 2176.4967263931. The cubic root of 4737138 is about 167.9469078265.

The spelling of 4737138 in words is "four million, seven hundred thirty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 43 61 86 122 129 183 258 301 366 427 602 854 903 1281 1806 1849 2562 2623 3698 5246 5547 7869 11094 12943 15738 18361 25886 36722 38829 55083 77658 110166 112789 225578 338367 676734 789523 1579046 2368569 4737138